What is the Greatest Common Factor of 8004 and 8008?

Greatest common factor (GCF) of 8004 and 8008 is 4.

GCF(8004,8008) = 4

We will now calculate the prime factors of 8004 and 8008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8004 and 8008.

How to find the GCF of 8004 and 8008?

We will first find the prime factorization of 8004 and 8008. After we will calculate the factors of 8004 and 8008 and find the biggest common factor number .

Step-1: Prime Factorization of 8004

Prime factors of 8004 are 2, 3, 23, 29. Prime factorization of 8004 in exponential form is:

8004 = 2² × 3¹ × 23¹ × 29¹

Step-2: Prime Factorization of 8008

Prime factors of 8008 are 2, 7, 11, 13. Prime factorization of 8008 in exponential form is:

8008 = 2³ × 7¹ × 11¹ × 13¹

Step-3: Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002

Step-4: Factors of 8008

List of positive integer factors of 8008 that divides 8004 without a remainder.

1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8004 and 8008. The biggest common factor number is the GCF number.
So the greatest common factor 8004 and 8008 is 4.

Also check out the Least Common Multiple of 8004 and 8008